Even with a "safety" razor, I almost always cut my neck somewhere. Doesn't matter if it's a new blade or not. Know that Simpsons episode where Homer tried a straight razor? Yeah, my last shave was like that.

Electric razors leave my entire face bright red, so all day long I have people asking if I somehow got a sunburn just on my lower face.

So the obvious option ("Just grow it out") sounds good... except that I have a sparse, patchy beard.

Nkuvu,
When I was in the Army, I saw the strangest thing. A soldier shaved a wet bar of soap once every few strokes to his face. Apparently, he had problems with nicks, ingrown hair, razor bumps, and the like. I used the technique while in basic training when shaving multiple times a day was necessary.